Evidential inference and optimal sample size determination on the basis of record values and record times under random sampling scheme

Mahdi Doostparast () and Mahdi Emadi ()

Statistical Methods & Applications, 2014, vol. 23, issue 1, 50 pages

Abstract: In this paper, the likelihood ratio approach is applied for measuring evidence provided by record data in favor of a hypothesis against an alternative under a random sampling scheme. Explicit expressions for probabilities of observing strong and weak evidences are derived. Asymptotic behaviors of these probabilities are investigated in a greater detail. Optimal sample size in which the substantial evidence reaches a desired level is determined. An illustrative example concerning records of times between consecutive telephone calls to a company’s switchboard is also analyzed. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: Exponential model; Hypotheses testing; Likelihood ratio; Statistical evidence; Strong and weak evidences (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10260-012-0228-x

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